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- W3144984145 abstract "In this study, we use inexact newton methods to find solutions of nonlinear, nondifferenti-able operator equations on Banach spaces with a convergence structure. This technique involves the introduction of a generalized norm as an operator from a linear space into a partially ordered Banach space. In this way the metric properties of the examined problem can be analyzed more precisely. Moreover , this approach allmvs us to derive from the same theorem, on the one hand, semi-local results of Kantorovich-type, and on the other hand, global results based on mono-tonicity considerations. Furthermore, ive show that special cases of our results reduce to the corresponding ones already in the literature. Finally > our results are used to solve integral equations that cannot be solved with existing methods." @default.
- W3144984145 created "2021-04-13" @default.
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- W3144984145 date "1997-01-01" @default.
- W3144984145 modified "2023-09-24" @default.
- W3144984145 title "INEXACT NEWTON METHODS AND NONDIFFERENTIABLE OPERATOR EQUATIONS ON BANACH SPACES WITH A CONVERGENCE STRUCTURE" @default.
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